# Stored data for newform 3840.2.a.bb, downloaded from the LMFDB on 08 December 2024. {"Nk2": 15360, "analytic_conductor": 30.662554376171666, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, -1], [3, -1], [5, -1]], "atkin_lehner_string": "---", "char_conductor": 1, "char_degree": 1, "char_is_minimal": false, "char_is_real": true, "char_orbit_index": 1, "char_orbit_label": "a", "char_order": 1, "char_parity": 1, "char_values": [3840, 1, [511, 2821, 2561, 1537], [1, 1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 1, "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "field_poly_is_cyclotomic": false, "field_poly_is_real_cyclotomic": false, "field_poly_root_of_unity": 0, "fricke_eigenval": -1, "has_non_self_twist": 0, "hecke_cutters": [[7, [-2, 1]], [11, [-2, 1]], [13, [-2, 1]], [17, [-4, 1]], [19, [-4, 1]]], "hecke_orbit": 28, "hecke_orbit_code": 121597189972561664, "hecke_ring_generator_nbound": 1, "hecke_ring_index": 1, "hecke_ring_index_factorization": [], "hecke_ring_index_proved": true, "inner_twist_count": 1, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "is_cm": false, "is_largest": false, "is_maximal": false, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": false, "label": "3840.2.a.bb", "level": 3840, "level_is_powerful": false, "level_is_prime": false, "level_is_prime_power": false, "level_is_prime_square": false, "level_is_square": false, "level_is_squarefree": false, "level_primes": [2, 3, 5], "level_radical": 30, "minimal_twist": "1920.2.k.c", "nf_label": "1.1.1.1", "prim_orbit_index": 1, "qexp_display": "q+q^{3}+q^{5}+2q^{7}+q^{9}+2q^{11}+2q^{13}+\\cdots", "related_objects": ["EllipticCurve/Q/3840/bb"], "relative_dim": 1, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "3840.2.a", "trace_display": [0, 1, 1, 2], "trace_hash": 1446776145214881417, "trace_moments": 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